Mechanical modelling of anelasticity

Quoc Son Nguyen

A review of the mechanical modelling of plasticity is given in order to illustrate the preceding concepts and preceding methods of the mechanician in the macroscopic approach of continuous continua. This approach presents uncontestable advantages concerning its systematical and operational characteristics. In classical plasticity, the expressions of the free energy density and of the pseudo-potential of dissipation lead to generalized standard models of plasticity. Usual models of perfect plasticity or of isotropic and kinematic hardening can be described in this unified presentation and are involved with internal parameters which are plastic strains, plastic path length or plastic works. The analysis is illustrated by a description of single crystals and by an analyse of bifurcation and stability in quasi-static evolution. The technique of macro-homogenization is underlined.

Mots clés: anelasticity; mechanical modelling; plasticity; free energy density; pseudo potential; dissipation; perfect plasticity; hardening; strains; path length; bifurcation; stability

Domaines: Articles anciens

Quoc Son Nguyen. Mechanical modelling of anelasticity. Revue de Physique Appliquée, 1988, 23 (4), pp.325-330. ⟨10.1051/rphysap:01988002304032500⟩. ⟨jpa-00245777⟩